Elyse's shop sold shirts and vests. The shirts were sold at $40 each and each vest was sold at ¹₂ of the price of each shirt. Elyse sold ¹₃ of the items on the first day and collected $2700. ²₃ of the items sold on the first day were shirts.

1. How many vests were sold on the first day?
2. What was the total number of items left after the first day?

(a)

Sold		Unsold	Total
1x3		2x3	3x3
Shirts	Vests
2x1	1x1
2 u	1 u	6 u	9 u

The total number of shirts and vests sold is repeated.  Make the total number of shirts and vests sold the same.  LCM of 3 and 1 is 3.

	Shirts	Vests	Total
Number	2 u	1 u	3 u
Value	$40	$20
Total value	80 u	20 u	100 u

Cost of each vest
= ¹₂ x 40
= $20

Total amount collected from selling the shirts and the vests on the first day
= 80 u + 20 u
= 100 u

100 u = 2700

1 u = 2700 ÷ 100 = 27

Number of vests sold on the first day
= 1 u
= 27

(b)
Total number of items left after the first day
= 6 u
= 6 x 27
= 162

Answer(s): (a) 27; (b) 162